ADER-SCHEMES ON NETWORKS OF SCALAR CONSERVATION LAWS

被引：0
|
作者：
Borsche, Raul [1 ]
Kall, Jochen [1 ]
机构：
[1] Tech Univ Kaiserslautern, Fachbereich Math, Kaiserslautern, Germany
来源：
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS | 2014年 / 8卷
关键词：
ADER; coupling; hyperbolic conservation laws; network; TRAFFIC FLOW; MODEL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we extend the ADER-approach [12] onto networks of scalar hyperbolic conservation laws. Within a single edge of the network the classical scheme can be used. At the nodes we use the shrinking stencils of [11] to compute the out flow. The in flow conditions are computed by applying the inverse Lax-Wendroff method to the coupling conditions. Numerical examples confirm the aimed rates convergence and the stability for discontinuous solutions.
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页码：333 / 340
页数：8
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